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A remark to a paper of Kato and Ikebe
- Source :
- manuscripta mathematica. 20:197-208
- Publication Year :
- 1977
- Publisher :
- Springer Science and Business Media LLC, 1977.
-
Abstract
- This paper deals with Schrodinger operators as they were treated by Kato - Ikebe [3]. It is shown that every element of the domain of definition of the adjoint of such an operator has locally square integrable distributional derivatives up to the order 2. For this the potential of the Schrodinger operator must fulfil a local Stummel condition; if the potential is only locally square integrable a somewhat weaker statement is possible for three dimensions (see remark 2 at the end of this paper).
Details
- ISSN :
- 14321785 and 00252611
- Volume :
- 20
- Database :
- OpenAIRE
- Journal :
- manuscripta mathematica
- Accession number :
- edsair.doi...........614566d1c2cbc53ee5b81c587620a6c2